Can you crack the combination lock?
Duration: 2 mins 53 secs
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Description: |
The sequence 11221 contains all 2-digit combinations using the numbers 1 and 2.
Can you find a sequence that contains all the 3-digit combinations using the numbers 1, 2, and 3. What is the shortest such sequence? Can you find a sequence that contains all the 4-digit combinations using the numbers 1, 2, 3, and 4. What is the shortest such sequence? Then, can you break this lock? By which I mean, find the shortest sequence containing all 4-digit combinations using the numbers 0 to 9. The sequence is 10003 digits long (yes I misspoke in the video!) |
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Created: | 2011-12-16 01:53 |
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Collection: | Quite Easily Done |
Publisher: | University of Cambridge |
Copyright: | Dr J.R. Grime |
Language: | eng (English) |
Keywords: | maths; math; mathematics; problem; puzzle; combination; lock; break; crack; sequence; combinatorics; |
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